3 papers
math.DS2026
Extreme value theorem for geodesic flow on the quotient of the theta group
Jaelin Kim, Seul Bee Lee, Seonhee Lim
We establish an extreme value theorem for the geodesic flow on the hyperbolic surface associated with the theta group . To capture excursions into both…
math.DS2025
The Brjuno and Wilton Functions
Claire Burrin, Seul Bee Lee, Stefano Marmi
The Brjuno and Wilton functions bear a striking resemblance, despite their very different origins; while the Brjuno function is a fundamental tool in one-dimensional holomor…
math.NT2024
Diophantine approximation by rational numbers of certain parity types
Dong Han Kim, Seul Bee Lee, Lingmin Liao
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the pa…